Question

find the no. of small cubes with edge 20cm that can be accommodated in a cubical box of 2m edge.

Answer 1

Volume of box with 2m edge = 2 x 2 x 2 = 200 x 200 x 200 = 8000000 cm³

Volume of box with 20 cm = 20 x 20 x 20 = 8000 cm³

Total number of smaller cubes = 8000000/8000 = 8000

Required number of cubes is 8000

Answer 2

Hi there !!

Side of the bigger cube = a  = 2m = 200cm

Volume  = a³
              =  (200)³
             = 8000000 cm³

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Side of the smaller cube = a = 20 cm


Volume = a³
             = (20)³
             = 8000 cm³

Total number of smaller cubes = Volume of bigger cube ÷ Volume of smaller cube = 8000000 ÷ 8000 

   = 8000 small cubes